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aalyn [17]
3 years ago
14

A sphere is inscribed inside a cube with edges of 6 cm. In cubic centimeters, what is the volume of the sphere in terms of ?

Mathematics
1 answer:
masya89 [10]3 years ago
7 0
V = 4πr³/3
Substituting,
V = (4/3)π(3 cm)³
V = 36π cm³
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A rectangle has a perimeter of 58 inches. The length is five more than twice the width. Write and solve an equation to determine
Ymorist [56]

Answer:

The width is 8 inches.

Step-by-step explanation:

Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

8 0
3 years ago
In a certain region of space, the potential is given by v=2x−5x2y 3yz2. How much is the magnitude of the electric field at point
Masja [62]

The magnitude of the electric field at the point (-2, 2, 0) is 46.52 V/m

<h3>How to calculate the electric field?</h3>

Since in a certain region of space, the potential is given by v = 2x − 5x²y 3yz²,

The electric field, E = -grad(V) where grad(V) = (dV/dx)i + (dV/dy)j + (dV/dz)k

Since V = 2x − 5x²y + 3yz²

dV/dx = d(2x − 5x²y + 3yz²)/dx

= d2x/dx - d5x²y/dx + d3yz²/dx

= 2 - 10xy + 0

= 2 - 10xy

dV/dy = d(2x − 5x²y + 3yz²)/dy

= d2x/dy - d5x²y/dy + d3yz²/dy

= 0 - 5x² + 3z²

=  - 5x² + 3z²

dV/dz = d(2x − 5x²y + 3yz²)/dz

= d2x/dz - d5x²y/dz + d3yz²/dz

= 0 - 0 + 6z

=  6z

<h3>The electric field</h3>

So, E = -grad(V)

= -[(dV/dx)i + (dV/dy)j + (dV/dz)k]

= -[(2 - 10xy)i + (- 5x² + 3z²)j + (6z)k]

So, the electric field at (-2, 2, 0) is

E = -[(2 - 10xy)i + (- 5x² + 3z²)j + (6z)k]

E = -[(2 - 10(-2)(2))i + (- 5(2)² + 3(0)²)j + (6(0))k]

E = -[(2 + 40)i + (- 5(4) + 0)j + (0)k]

E = -[42i + (-20 + 0)j + (0)k]

E = -[42i - 20j + 0k]

E = -42i + 20j - 0k

<h3>The magnitude of the electric field</h3>

So, the magnitude of E at (-2, 2, 0) is

|E| = √[(-42)² + 20² + 0²]

=  √[1764 + 400 + 0]

= √2164

= 46.52 V/m

So, the magnitude of the electric field at the point (-2, 2, 0) is 46.52 V/m

Learn more about electric field here:

brainly.com/question/25751825

#SPJ12

3 0
2 years ago
Solv the following inequality.<br> p – 4 &lt; -11
bogdanovich [222]

Answer:

p < -7

Step-by-step explanation:

.................

6 0
3 years ago
Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of 400.00.
Kaylis [27]

Answer:

280

Step-by-step explanation:

400.00-40%=280

7 0
3 years ago
Read 2 more answers
You can buy 5 cans of beans at the Village Market for $3.20. You can buy 10 of the same cans of beans at Sam’s Club for $7.30. W
Inessa05 [86]

Answer:

Village Market

Step-by-step explanation:

3.20÷5=.64

7.30÷10=.73

3 0
3 years ago
Read 2 more answers
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